Ok, considering that two solids are similar, and the volume of the smaller pyramid is 54 meters cubed, we need find first the length scale factor or LSF between the two pyramids is 3 divided by 8, which is 3/8.
If the length scale factor between two similar shapes is , then the volume scale factor or VSF is always cubed.
So as we know the length scale factor for these two pyramids, we can work out the scale factor between their volumes.
It’s (3/8) cubed, which is (27/512).
So if we want to work out the volume of the larger pyramid, we need to divide the smaller volume by (27/512). So it’s 54 divided by 27/512, which is 1024. And so we have our answer to the problem: the volume of the larger pyramid is 1024 meters cubed.